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Chapter 2: Q.376. (page 195)

In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation.
x<3andx鈮�1

Short Answer

Expert verified

Thenumberthatmakebothinequalitiestrueis1鈮�x<3IntervalNotation[1,3)

Step by step solution

01

Step 1. Given information

x<3andx鈮�1

02

Step 2.Solve each inequalities

x<3i.e.(-鈭�,3)x鈮�1i.e.[1,鈭�)

03

Step 3. Graph Each Solution

Draw the number lines for each inequalities

Graph ofx<3

Graph ofx鈮�1

04

Step 4. Merge The Graph of Each Solution

Merge the graph of each solution

05

Step 5. Interval Notation

Thenumberthatmakebothinequalitiestrueis1鈮�x<3IntervalNotation[1,3)

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